Lemma 3.5 ([1]})   A character \(\chi \)  marks a torus-invariant compact divisor \(D\subset G\text{\textnormal {-Hilb}}\,\mathbb {A}^3\)  iff \(r_\chi \)  is in the socle of every \(G\) -cluster corresponding to a torus-fixed point in \(D\) .

